Sorry I'm hijacking but would you care to talk more about your experience at the LSE summer school? I'm considering doing that next year haha (great to hear you're enjoying it though!)
Sure!
Classes run across 3 weeks (instead of 12) which is quite intense. For econs/international relations/maths you get 3 hours of lectures and 1.5 hours of tutes every day. Law is a bit less consistent but it's normal to have classes every day as well.
Classes are taught
really well but the assessments are quite complicated, but I guess that's expected for a world-renowned uni. The good thing though is that your grades generally don't matter if you pass or fail since your home institution won't use that score (they'll just give you a P or an N). Entry requirements are not too bad (for my course it was a 75 for intermediate microeconomics, this may be lower for other courses).
Living in London is quite expensive (only came here because of a scholarship lmao), and the accommodation offered by LSE at least 900 GBP for 20 days. I saved a bit by living outside but generally the experience living in one of their halls are better. Would highly recommend travelling out of London a bit during the weekends or before the courses start. Good luck!